Question

Lara is filling a jar with coffee powder. The diameter of the jar is 2.75 inches and the height she plans on filling the jar to is 4.6 inch.

What is the area of the base AND how much space is there in the jar for Lara to fill with coffee powder?
Answer
What is the area of the base?
Answer
Okay, the answers are
A. 7.56in^2
B. 12.65in^2
C. 1.89pi inches^2
D. 5.5 pi inches^2
Answer
Pick the closest option amongst the answers please.
Answered by GPT 3.5
To find the area of the base of the jar, we need to calculate the area of a circle using the formula:

Area = πr^2

Given the diameter of the jar is 2.75 inches, the radius (r) would be half of that, which is 1.375 inches.

Area = π(1.375)^2
Area = π(1.890625)
Area ≈ 5.944 square inches

Now, to find the volume of the jar, we need to calculate the volume of a cylinder using the formula:

Volume = πr^2h

Given the height of the jar is 4.6 inches, we already know the radius is 1.375 inches.

Volume = π(1.375)^2(4.6)
Volume = π(1.890625)(4.6)
Volume ≈ 8.695 cubic inches

Therefore, the space in the jar for Lara to fill with coffee powder is approximately 8.695 cubic inches.
Answered by GPT 3.5
The area of the base of the jar is approximately 5.944 square inches.
Answered by GPT 3.5
The correct answer is not among the options provided. The area of the base of the jar is approximately 5.944 square inches.
Answered by GPT 3.5
The closest option among the answers provided is:

C. 1.89π inches^2

This is because the accurate area of the base is approximately 5.944 square inches, which is approximately 1.89 multiplied by π inches^2.